The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A140676 a(n) = n*(3*n + 4). 13
 0, 7, 20, 39, 64, 95, 132, 175, 224, 279, 340, 407, 480, 559, 644, 735, 832, 935, 1044, 1159, 1280, 1407, 1540, 1679, 1824, 1975, 2132, 2295, 2464, 2639, 2820, 3007, 3200, 3399, 3604, 3815, 4032, 4255, 4484, 4719, 4960, 5207, 5460 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The number of peers of a cell of a n^2 X n^2 sudoku is a(n-1). - Neven Sajko, Apr 20 2016 First differences are in A016921. - Wesley Ivan Hurt, Apr 21 2016 LINKS G. C. Greubel, Table of n, a(n) for n = 0..5000 Index entries for linear recurrences with constant coefficients, signature (3, -3, 1). FORMULA a(n) = 3*n^2 + 4*n. a(n) = 6*n + a(n-1) + 1 for n>0, a(0)=0. - Vincenzo Librandi, Aug 03 2010 O.g.f.: x*(7 - x)/(1 - x)^3. - Arkadiusz Wesolowski, Dec 24 2011 a(0)=0, a(1)=7, a(2)=20; for n>2, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Harvey P. Dale, May 04 2013 E.g.f.: x*(7 + 3*x)*exp(x). - Ilya Gutkovskiy, Apr 20 2016 a(n) = A000567(n+1) - 1. - Neven Sajko, Apr 20 2016 MAPLE A140676:=n->n*(3*n+4): seq(A140676(n), n=0..100); # Wesley Ivan Hurt, Apr 21 2016 MATHEMATICA Table[n (3 n + 4), {n, 0, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 7, 20}, 50] (* Harvey P. Dale, May 04 2013 *) PROG (PARI) a(n)=n*(3*n+4) \\ Charles R Greathouse IV, Oct 07 2015 (MAGMA) [n*(3*n+4) : n in [0..80]]; // Wesley Ivan Hurt, Apr 21 2016 CROSSREFS Cf. A000567, A016921, A033428, A045944, A067707, A067725, A140677, A140678, A140679, A140680, A140681, A140689. Sequence in context: A297882 A318790 A228882 * A025056 A038349 A100752 Adjacent sequences:  A140673 A140674 A140675 * A140677 A140678 A140679 KEYWORD nonn,easy AUTHOR Omar E. Pol, May 22 2008 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 28 07:52 EST 2021. Contains 349401 sequences. (Running on oeis4.)